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Let A = {2,{4,5},4}. Which of the following statements are incorrect and why? Give an explanation for your answer to each part. i. 5 ∈ A? ii. {5} ∈ A? iii. 5 ⊂ A?

Let A = {x: x 3x=6}. Does A? My answer: A ≠ 2 because x = 2 and x is an element of set A. Thus, A = {2}, but A itself is not equal to 2.

Convert each statement below into symbolic form and generate its truth table: If the New York Yankees win the world series or the New York Jets win the super bowl then New York fans will be overjoyed and dance in the streets. Y: The New York Yankees win t...

1. Solve each inequality and express the solution set in interval notation. a. 3 < |(x-3)/2| < 5 b. 5 ≥ |(x+2)/3| > 1 2. 4 < 2x-8 ≤ 10 ans.: (a)(9,-3) (-7,13) (b) [-17,13] (1,-5) 2. (6,9]

Solve: Log5(x-2) + log8(x-4)= log6(x-1)

Show that sin (α-30°)+cos (α+30°) = (√3 - √1)/√2 × sin (α+45°)

If a projectile is fixed at an angle α = 60° and initial velocity, Vi =100 ft/s. Find its position at the end of 25 seconds. x = (Vi cos α)t y = -16t² + (Vi sin α)t

The charges for hiring a car from three different companies, based on the number of days for which a car is hired and/or the number of kilometres for which the car is driven are as follows: Company A charges $660 per day Company B charges 48 cents on per...

If f(x) = (x+1)/(x-1), what is: i) lim f(x) as x approaches 1 ii) lim f(x) as x approaches ∞ My answer: i) lim f(x) as x approaches 1 is undefined because 2/0 is undefined ii) lim f(x) as x approaches ∞ = ∞ (∞+1)/( ∞-1) = ∞/∞ = ∞

If the equation 3x^4+2x^3-6x^2-6x+p=0 has two equal roots, find the possible values of p. x-1 is a factor so after replacing x=1 I got p=7. But I don't know any other possible values of p. I got p=1 but I solved it through inspection. Please help.

The volume of a spherical balloon of radius r cm is V cm3, where . Find dv/dr My answer: 4πr^2 The balloon leaks at 5cm^3 per second, how fast does the radius of the balloon leaks when the radius is 15 cm. Find the rate at which the radius is changing wit...

Yes, I meant A = {x: 3x=6}. Is A therefore equal to 2, or is x = 2 just, instead of A = 2?

Thank you. X = 2 and A = {2} makes sense. But let's say that A IS equal to 2. Could you explain how A could be equal to 2? I don't think it's possible. Maybe, if A contained two elements, then we could say that n(A) = 2.

Could it also be (Y Λ J) -> (O Λ D)?